Rare regions, ie, rare large spatial disorder fluctuations, can dramatically change the
properties of a phase transition in a quenched disordered system. In generic classical …

There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

We introduce the concept of directed loops in stochastic series expansion and path-integral
quantum Monte Carlo methods. Using the detailed balance rules for directed loops, we …

A review of the loop algorithm, its generalizations, and its relation to some other Monte Carlo
techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs …

The study of randomness in low-dimensional quantum antiferromagnets is at the forefront of
research in the field of strongly correlated electron systems, yet there have been relatively …

The two-dimensional antiferromagnetic S= 1/2 Heisenberg model with random site dilution
is studied using quantum Monte Carlo simulations. Ground-state properties of the largest …

The S= 1/2 Heisenberg bilayer antiferromagnet with randomly removed interlayer dimers is
studied using quantum Monte Carlo simulations. A zero-temperature multicritical point (p …

The effect of quenched disorder on the low-energy and low-temperature properties of
various two-and three-dimensional Heisenberg models is studied by a numerical strong …

We show that the interplay of geometric criticality and quantum fluctuations leads to a novel
universality class for the percolation quantum phase transition in diluted magnets. All critical …

We have studied the static and dynamic magnetic properties of two-dimensional (2D) and
quasi-two-dimensional, spin-S, quantum Heisenberg antiferromagnets diluted with spinless …